عنوان

Automorphic Pseudodifferential Analysis and Higher Level Weyl Calculi

شابک

9783034879781

شابک

9783034896412

شماره

b406255

عنوان اصلي

Automorphic Pseudodifferential Analysis and Higher Level Weyl Calculi

نام عام مواد

[Book]

نام نخستين پديدآور

by André Unterberger.

محل نشرو پخش و غیره

Basel :

نام ناشر، پخش کننده و غيره

Imprint: Birkhäuser,

تاریخ نشرو بخش و غیره

2003.

عنوان فروست

Progress in Mathematics ;

مشخصه جلد

209

متن يادداشت

1 Introduction -- 1 Automorphic Distributions and the Weyl Calculus -- 2 he Weyl calculus, the upper half-plane, and automorphic distributions -- 3 Eisenstein distributions, Dirac's comb and Bezout's distribution -- 4 The structure of automorphic distributions -- 5 The main formula: a heuristic approach -- 2 A Higher-level Weyl Calculus of Operators -- 6 A tamer version of the Weyl calculus: the horocyclic calculus -- 7 The higher-level metaplectic representations -- 8 The radial parts of relativistic wave operators -- 9 The higher-level Weyl calculi -- 10 Can one compose two automorphic operators? -- 11 The sharp product of two power-functions: the Weyl case -- 12 Beyond the symplectic group -- 3 The Sharp Composition of Automorphic Distributions -- 13 The Roelcke-Selberg expansion of functions associated with $ $\mathfrak{E}_{{{{\nu }_{1}}}} {\sharp }\# \mathfrak{E}_{{\nu 2}} {\sharp }$ $ the continuous part -- 14 The Roelcke-Selberg expansion of functions associated with $ $\mathfrak{E}_{{{{\nu }_{1}}}} {\sharp }\# \mathfrak{E}_{{\nu 2}} {\sharp }$ $ the discrete part -- 15 A proof of the main formula -- 16 Towards the completion of the multiplication table -- 4 Further Perspectives -- 17 Another way to compose Weyl symbols -- 18 Odd automorphic distributions and modular forms of non-zero weight -- 19 New perspectives and problems in quantization theory -- Index of Notation.

بدون عنوان

0

متن يادداشت

Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2002. The subject of this book is the study of automorphic distributions, by which is meant distributions on R2 invariant under the linear action of SL(2,Z), and of the operators associated with such distributions under the Weyl rule of symbolic calculus. Researchers and postgraduates interested in pseudodifferential analyis, the theory of non-holomorphic modular forms, and symbolic calculi will benefit from the clear exposition and new results and insights.

شماره استاندارد بين المللي کتاب و موسيقي

9783034896412

عنوان

Springer eBooks

موضوع مستند نشده

Differential equations, Partial.

موضوع مستند نشده

Global analysis.

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

Number theory.

موضوع مستند نشده

Operator theory.

موضوع مستند نشده

Quantum theory.

موضوع مستند نشده

Topological Groups.

مستند نام اشخاص تاييد نشده

Unterberger, André.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190303135605.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y